Equipment carrying case



FIG. 1 is a perspective view of the front of the equipment carrying case showing my new design;

FIG. 2 is a perspective view of the rear of the equipment carrying case showing my new design; and,

FIG. 3 is a perspective view of the front of the equipment carrying case showing my new design.

The broken line showing of environment is for illustrative purposes only and forms no part of the claimed design. 

The ornamental design for an equipment carrying case, as shown and described. 